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Making the sum of relations (2) and (3), and using inequality (1), it follows that Ω ( g x n, g x m, g x l ) + Ω ( g y n, g y m, g y l ) ≤ 2 M ( k n − 1 + k n + ⋯ + k m − 2 ) ≤ 2 M k n − 1 1 1 − k.
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Following their meeting, during which Duterte said relations with China had entered a new "springtime", China's vice-foreign minister, Liu Zhenmin, said the South China Sea issue was not the sum total of relations.
The self at the center of these relations is the sum of these relations, relations she did not choose.
If λ 1 = λ 2 = λ, then the hypotheses − 1 < a < 1 and − 1 < d < 1 and the sum-of-roots relation for quadratic functions applied to (18) imply − 2 < 2 λ = a + d < 2 ⟹ − 1 < λ < 1, which proves (a).
A structure is not a sum of social relations, which are only the primary material from which the observer extracts "structural models".
He began to think of diplomacy as an exercise in seduction and foreign policy as the sum of his relations with friends such as George Bush, Vladimir Putin, Muammar Gaddafi, Recep Tayyip Erdogan and, possibly, Tony Blair.
It must be emphasized, however, that an entity is not merely a sum of its relations, but also a valuation of them and reaction to them.
In fact, Whitehead describes any entity as in some sense nothing more and nothing less than the sum of its relations to other entities – its synthesis of and reaction to the world around it.
He summed up the state of relations now: "They don't trust us".
Given there were no clear grounds to sack Barton, it was only the individual's desire to play football elsewhere swiftly that ensured the paying of a paltry sum in relation to the remainder of his two-year contract.
In order-theoretical terms, ≤ is the direct sum of the linear order relations defined on the individual sequences.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com